A new Monte Carlo method for estimation of time asymptotic parameters of polarized radiation

Tracheva Natalya; Ukhinov Sergey

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A new Monte Carlo method for estimation of time asymptotic parameters of polarized radiation

机译：估计极化辐射时间渐近参数的新蒙特卡罗方法

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In this work we discuss the problem of estimation of time asymptotic parameters of polarized radiation flux in the scattering and absorbing media, illuminated by an external or an internal source. We construct a distinctive weighted Monte Carlo algorithm for evaluation of asymptotic parameters and time distribution density of polarized radiation flux. This algorithm is based on the randomized projective evaluation of the functionals via the orthonormal polynomial expansion of a special kind. We provide results of performed numerical simulation of the time distribution of the radiation intensity and degree of polarization, scattered by semi-infinite layer of the scattering and absorbing media. (C) 2018 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.

机译：在这项工作中，我们讨论了由外部或内部光源照射的散射和吸收介质中极化辐射通量的时间渐近参数估计问题。我们构造了一个独特的加权蒙特卡洛算法来评估渐近参数和极化辐射通量的时间分布密度。该算法基于通过一种特殊的正交多项式展开对函数进行的随机投影估计。我们提供了由散射和吸收介质的半无限层散射的辐射强度和偏振度的时间分布的数值模拟结果。（C）2018国际模拟数学与计算机协会（IMACS）。由Elsevier B.V.发布。保留所有权利。

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《Mathematics and computers in simulation》 |2019年第7期|84-92|共9页
作者
Tracheva Natalya; Ukhinov Sergey;
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作者单位

RAS, SB, Inst Computat Math & Math Geophys, Akad Lavrenjeva Ave,6, Novosibirsk 630090, Russia;

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正文语种 eng
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关键词
Polarized radiation transfer; Time asymptotics; Monte Carlo method; Randomized projective estimator;

机译：极化辐射传输;时间渐近;蒙特卡罗方法;随机投影估计;

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1. A new Monte Carlo method for estimation of time asymptotic parameters of polarized radiation [J] . Tracheva Natalya, Ukhinov Sergey Mathematics and computers in simulation . 2019,第Jula期

机译：一种新的蒙特卡罗方法，用于估计极化辐射的时间渐近参数
2. The Monte Carlo method and analytic averaging for estimation of parameters of polarized radiation asymptotics [J] . G. A. MIKHAILOV, N. V. TRACHEVA, S. A. UKHINOV Russian Journal of Numerical Analysis and Mathematical Modelling . 2008,第3期

机译：蒙特卡罗方法和解析平均法估计偏振辐射渐近线的参数
3. A Study of the Asymptotic Behavior of the Intensity of a Polarized Radiation by the Monte Carlo Method [J] . G. A. Mikhailov, N. V. Tracheva, S. A. Ukhinov Doklady. Mathematics . 2007,第3期

机译：蒙特卡罗方法研究极化辐射强度的渐近行为
4. On the Monte Carlo based algorithm for the estimation of bidirectional angular characteristics of polarized radiation [C] . Natalya V. Tracheva, Sergey A. Ukhinov 24th International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics . 2018

机译：基于蒙特卡洛算法的极化辐射双向角特性估计
5. Parameter Estimation Using Markov Chain Monte Carlo Methods for Gravitational Waves from Spinning Inspirals of Compact Objects. [D] . Raymond, Vivien. 2012

机译：使用马尔可夫链蒙特卡罗方法对紧凑物体自旋吸引力波进行参数估计。
6. Estimation of Dosimetric Parameters based on KNR and KNCSF Correction Factors for Small Field Radiation Therapy at 6 and 18 MV Linac Energies using Monte Carlo Simulation Methods [O] . S.A. Rahimi, B. Hashemi, S.R. Mahdavi 2019

机译：基于KNR和KNCSF校正因子的剂量参数参数估计的6和18 MV直线加速器能量小场辐射疗法的蒙特卡罗模拟方法
7. A Polarized Atmospheric Radiative Transfer Model for Calculations of Spectra of the Stokes Parameters of Shortwave Radiation Based on the Line-by-Line and Monte Carlo Methods [O] . Boris Fomin, Victoria Falaleeva 2012

机译：基于逐行和蒙特卡罗方法计算短波辐射斯托克斯参数光谱的偏振大气辐射传输模型
8. Monte Carlo Methods in State Space Estimation (Monte Carlo Metoder iTilstandsromestimering) [R] . Acklam, P. J. 1996

机译：状态空间估计中的蒙特卡罗方法（monte Carlo metoder iTilstandsromestimering）

A new Monte Carlo method for estimation of time asymptotic parameters of polarized radiation

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